I was looking at this question and I think I may have read the same story, but I'm not sure because a few of the details don't quite line up.
The story I read was about a man who had built a machine that could work out when a person would die. The way it worked was described as sending a small electric charge along the four-dimensional "sausage" which was a person's extent in spacetime - the story definitely used the word "sausage". The person who had built the machine had made several predictions which he put in sealed envelopes, including that of his own death. The story ended with him being visited by a pregnant woman who wanted to know how long her child would live. The builder saw that she would die very soon, and tried to keep her in his office as long as possible to avoid her fate by giving her tea and cakes, but she insisted on leaving and got hit by a car as she crossed the road to leave his office. This caused him to kill himself, and the date in his envelope was correct.
I read this in 1999 at the earliest and 2001 at the latest. Around the same time - possibly but not definitely in the same book - I read a story about a murder mystery in which the murder weapon turned out to be a time-accelerated flashlight.
I tried googling with these details, but kept running into the Machine of Death anthology which made it very difficult to find earlier stories on that theme.